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228555556416 = 26341121991831
BaseRepresentation
bin1101010011011011111…
…0010000011001000000
3210211221102121020210000
43110312332100121000
512221040210301131
6252555202440000
722340551114035
oct3246676203100
9724842536700
10228555556416
1188a25720400
1238366963000
1318725374515
14b0c276938c
155e2a379ce6
hex3536f90640

228555556416 has 420 divisors, whose sum is σ = 748852350400. Its totient is φ = 68873587200.

The previous prime is 228555556393. The next prime is 228555556499. The reversal of 228555556416 is 614655555822.

228555556416 is a `hidden beast` number, since 2 + 2 + 85 + 5 + 5 + 556 + 4 + 1 + 6 = 666.

228555556416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 124824621 + ... + 124826451.

Almost surely, 2228555556416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228555556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374426175200).

228555556416 is an abundant number, since it is smaller than the sum of its proper divisors (520296793984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228555556416 is a wasteful number, since it uses less digits than its factorization.

228555556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2046 counting only the distinct ones).

The product of its digits is 14400000, while the sum is 54.

The spelling of 228555556416 in words is "two hundred twenty-eight billion, five hundred fifty-five million, five hundred fifty-six thousand, four hundred sixteen".